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Finding the Fourth Proportional to 1,967.18, 2,950.13 and 650.69

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Solution

The fourth proportional to 1,967.18, 2,950.13 and 650.69 is: 975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.18 : 2,950.13 = 650.69 : x
  2. Step 2: Convert to fraction form
    1,967.18/2,950.13 = 650.69/x
  3. Step 3: Cross multiply
    1,967.18x = 2,950.13 × 650.69
  4. Step 4: Simplify right side
    1,967.18x = 1,919,605.34
  5. Step 5: Solve for x
    x = 1,919,605.34/1,967.18
  6. Step 6: Final answer
    x = 975.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.